The Liverpool played the full 120 minutes but saw his shot saved by the Cameroon goalkeeper to allow Vincent Aboubakar to win the match.
It means Mane could be back with his club this week to help save their faltering season.
Liverpool face Chelsea on Tuesday needing a win to keep them in the Premier League title race.
Liverpool fans turn on Jurgen Klopp after defeat against Wolves
Sat, January 28, 2017
Click through the gallery as Liverpool fans vent their frustrations at Jurgen Klopp after defeat against Wolves
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Click through the gallery as Liverpool fans vent frustrations at Jurgen Klopp
Cameroon's defender Ambroise Oyongo challenges Senegal's forward Sadio Mane
Jurgen Klopp have badly missed Mane, winning just once in seven games in his absence this month.
Earlier today, they suffered their third defeat in a week as they exited the FA Cup.
The Reds were stunned as goals from Richard Stearmann and Andreas Weimann took Wolves into the fifth round.